Results 41 to 50 of about 12,592 (145)
The weak (1,1) boundedness of Fourier integral operators with complex phases
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract Let T$T$ be a Fourier integral operator of order −(n−1)/2$-(n-1)/2$ associated with a canonical relation locally parametrised by a real‐phase function. A fundamental result due to Seeger, Sogge and Stein proved in the 90's gives the boundedness of T$T$ from the Hardy space H1$H^1$ into L1$L^1$. Additionally, it was shown by T.
Duván Cardona, Michael Ruzhansky
wiley +1 more source
Improved $\ell^p$-Boundedness for Integral $k$-Spherical Maximal Functions
Discrete Analysis, 2018 Improved $\ell^p$-Boundedness for Integral $k$-Spherical Maximal Functions, Discrete Analysis 2018:10, 18pp. An important role in harmonic analysis is played by the notion of a _maximal function_ (which is actually a non-linear operator on a space of ...
Theresa C. Anderson +3 more
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Some remarks on the first Hardy-Littlewood conjecture [PDF]
, 1974 Starting from the first Hardy-Littlewood conjecture some topics will be covered: an empirical approach to the distribution of the twin primes in classes mod(10) and a simplified proof of the Bruns theorem .
Bortolomasi, Marco, Ortiz-Tapia, Arturo
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Evaluating Allocations of Opportunities
International Economic Review, Volume 67, Issue 1, Page 365-397, February 2026.ABSTRACT This paper provides a robust criterion for comparing lists of probability distributions—interpreted as allocations of opportunities—faced by different social groups. We axiomatically argue in favor of comparing those lists of probability distributions on the basis of a uniform—among groups—valuation of their expected utility.
Francesco Andreoli +3 more
wiley +1 more source
Extensions of Hardy inequality
Journal of Inequalities and Applications, 2006 We study extended Hardy inequalities using Littlewood-Paley theory and nonlinear estimates' method in Besov spaces. Our results improve and extend the well-known results of Cazenave (2003).
Zhang Junyong
doaj
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We study the distortion of intermediate dimension under supercritical Sobolev mappings and also under quasiconformal or quasisymmetric homeomorphisms. In particular, we extend to the setting of intermediate dimensions both the Gehring–Väisälä theorem on dilatation‐dependent quasiconformal distortion of dimension and Kovalev's theorem on the ...
Jonathan M. Fraser, Jeremy T. Tyson
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Innovative Homomorphic Sorting of Environmental Data in Area Monitoring Wireless Sensor Networks
IEEE AccessIn many special cases, the data collected from wireless sensor networks are stored in encrypted form to provide the required privacy. Sorting is an essential operation on any stored data for orderly presentation and fast searching.
Neeta B. Malvi, N. Shylashree
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A survey of moment bounds for ζ(s)$\zeta (s)$: From Heath‐Brown's work to the present
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In this expository article, we review some of the ideas behind the work of Heath–Brown (D. R. Heath‐Brown, J. London Math. Soc., (2), 24, (1981), no. 1, 65–78) on upper and lower bounds for moments of the Riemann zeta‐function, as well as the impact this work had on subsequent developments in the field.
Alexandra Florea
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The HELP inequality for Hamiltonian systems
Journal of Inequalities and Applications, 1999 We extend the Hardy–Everitt–Littlewood–Polya inequality, hitherto established for 2nth order formally selfadjoint ordinary differential equations, to a wide class of linear Hamiltonian systems. The method follows Dias (Ph.D.
Evans WD, Marletta M, Brown BM
doaj
Sharp reversed Hardy--Littlewood--Sobolev inequality on the half space $\mathbb R_+^n$
, 2016 This is the second in our series of papers concerning some reversed Hardy--Littlewood--Sobolev inequalities. In the present work, we establish the following sharp reversed Hardy--Littlewood--Sobolev inequality on the half space $\mathbb R_+^n$ \[ \int_ ...
Nguyen, Van Hoang, Ngô, Quôc-Anh
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